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An algorithm is introduced for using electrical surface measurements to detect and monitor cracks inside a two-dimensional conductive body. The technique is based on transforming the probing functions of the classical enclosure method by…

Analysis of PDEs · Mathematics 2019-01-30 Andreas Hauptmann , Masaru Ikehata , Hiromichi Itou , Samuli Siltanen

A simplified model of anisotropic magnetic susceptibility in the Meissner-London vortex-free state of cuboidal superconducting samples is presented. Using this model, precision measurements of the magnetic response in three perpendicular…

Superconductivity · Physics 2024-11-28 Ruslan Prozorov

The lensless endoscope (LE) is a promising device to acquire in vivo images at a cellular scale. The tiny size of the probe enables a deep exploration of the tissues. Lensless endoscopy with a multicore fiber (MCF) commonly uses a spatial…

We present a computational framework for two-scale asymptotic homogenization to determine the intrinsic magnetic permeability of composites. To this end, considering linear magnetostatics, both vector and scalar potential formulations are…

Materials Science · Physics 2023-01-05 Celal Soyarslan , Jos Havinga , Leon Abelmann , Ton van den Boogaard

By utilizing diffusion maps embedding and transition matrix analysis we investigate sparse temperature measurement time-series data from Rayleigh--B\'enard convection experiments in a cylindrical container of aspect ratio $\Gamma=D/L=0.5$…

Fluid Dynamics · Physics 2019-12-12 Péter Koltai , Stephan Weiss

We propose a new framework for efficiently sampling from complex probability distributions using a combination of normalizing flows and elliptical slice sampling (Murray et al., 2010). The central idea is to learn a diffeomorphism, through…

Methodology · Statistics 2023-03-28 Alberto Cabezas , Christopher Nemeth

The detection of cracks is a crucial task in monitoring structural health and ensuring structural safety. The manual process of crack detection is time-consuming and subjective to the inspectors. Several researchers have tried tackling this…

Computer Vision and Pattern Recognition · Computer Science 2022-08-30 Shreyas Kulkarni , Shreyas Singh , Dhananjay Balakrishnan , Siddharth Sharma , Saipraneeth Devunuri , Sai Chowdeswara Rao Korlapati

We have considered a semi-infinite crack embedded in a transversely isotropic medium and studied two special cases, one, in which the axis of symmetry is normal to the crack face and the wave incidence is arbitrary and another, in which the…

Mathematical Physics · Physics 2009-02-25 A. Gautesen , V. Zernov , L. Fradkin

In a structural health monitoring (SHM) system that uses digital cameras to monitor cracks of structural surfaces, techniques for reliable and effective data compression are essential to ensure a stable and energy efficient crack images…

Image and Video Processing · Electrical Eng. & Systems 2020-07-15 Yong Huang , Haoyu Zhang , Hui Li , Stephen Wu

Magnetic resonance imaging (MRI) acquisition, reconstruction, and segmentation are usually processed independently in the conventional practice of MRI workflow. It is easy to notice that there are significant relevances among these tasks…

Image and Video Processing · Electrical Eng. & Systems 2021-05-17 Zhiwen Wang , Wenjun Xia , Zexin Lu , Yongqiang Huang , Yan Liu , Hu Chen , Jiliu Zhou , Yi Zhang

We study the percolative properties of bi-dimensional systems generated by a random sequential adsorption of line-segments on a square lattice. As the segment length grows, the percolation threshold decreases, goes through a minimum and…

Condensed Matter · Physics 2009-10-22 Y. Leroyer , E. Pommiers

We present monostatic sampling methods for limited-aperture scattering problems in two dimensions. The direct sampling method (DSM) is well known to provide a robust, stable, and fast numerical scheme for imaging inhomogeneities from…

Numerical Analysis · Mathematics 2022-04-14 Sangwoo Kang , Mikyoung Lim

The additive partially linear model (APLM) combines the flexibility of nonparametric regression with the parsimony of regression models, and has been widely used as a popular tool in multivariate nonparametric regression to alleviate the…

Methodology · Statistics 2019-03-19 Xinyi Li , Li Wang , Dan Nettleton

This study considers the Block-Toeplitz structural properties inherent in traditional multichannel forward model matrices, using Full Matrix Capture (FMC) in ultrasonic testing as a case study. We propose an analytical convolutional forward…

Signal Processing · Electrical Eng. & Systems 2024-07-19 Han Wang , Yhonatan Kvich , Eduardo Pérez , Florian Römer , Yonina C. Eldar

A new non-linear optimization approach is proposed for the sparse reconstruction of log-conductivities in current density impedance imaging. This framework comprises of minimizing an objective functional involving a least squares fit of the…

Optimization and Control · Mathematics 2020-06-30 Madhu Gupta , Rohit Kumar Mishra , Souvik Roy

Compressed sensing is an imaging paradigm that allows one to invert an underdetermined linear system by imposing the a priori knowledge that the sought after solution is sparse (i.e., mostly zeros). Previous works have shown that if one…

Image and Video Processing · Electrical Eng. & Systems 2023-12-05 Nicholas Dwork , Erin K. Englund

Random sequential adsorption algorithm is a popular tool for modelling structure of monolayers built in irreversible adsorption experiments. However, this algorithm becomes very inefficient when the density of molecules in a layer rises.…

Computational Physics · Physics 2019-11-25 Michał Cieśla

In this paper, we address the problem of identifying linear structural equation models. We first extend the edge set half-trek criterion to cover a broader class of models. We then show that any semi-Markovian linear model can be…

Artificial Intelligence · Computer Science 2015-08-11 Bryant Chen

In this paper, we take a fresh look at using spectral analysis for assessing locking phenomena in finite element formulations. We propose to "measure" locking by comparing the difference between eigenvalue and mode error curves computed on…

Computational Engineering, Finance, and Science · Computer Science 2021-11-02 Thi-Hoa Nguyen , René R. Hiemstra , Dominik Schillinger

Sample based ray marching is an effective method for direct volume rendering of unstructured meshes. However, sampling such meshes remains expensive, and strategies to reduce the number of samples taken have received relatively little…

Graphics · Computer Science 2019-08-07 Nathan Morrical , Will Usher , Ingo Wald , Valerio Pascucci
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